Pion valence quark PDF from lattice QCD

TL;DR

This paper uses lattice QCD and LaMET to compute the valence-quark distribution in the pion, extracting moments of the PDF through a coordinate space approach and operator product expansion.

Contribution

It introduces a coordinate space method within LaMET to determine pion valence-quark PDFs from lattice QCD, including renormalization and QCD evolution effects.

Findings

Successfully extracted second and fourth moments of the pion PDF.

Demonstrated the effectiveness of the reduced Ioffe-time distribution for renormalization.

Provided lattice-based insights into pion structure at high momentum.

Abstract

We present lattice results on the valence-quark structure of the pion using a coordinate space method within the framework of Large Momentum Effective Theory (LaMET). In this method one relies on the matrix elements of a Euclidean correlator in boosted hadronic states, which have an operator product expansion at short distance that allows us to extract the moments of PDFs. We renormalize the Euclidean correlator by forming the reduced Ioffe-time distribution (rITD), and reconstruct the second and fourth moments of the pion PDF by taking into account of QCD evolution effects.